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Finding the Fourth Proportional to 7,773.51, 11,663.71 and 4,074.86

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Solution

The fourth proportional to 7,773.51, 11,663.71 and 4,074.86 is: 6,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.51 : 11,663.71 = 4,074.86 : x
  2. Step 2: Convert to fraction form
    7,773.51/11,663.71 = 4,074.86/x
  3. Step 3: Cross multiply
    7,773.51x = 11,663.71 × 4,074.86
  4. Step 4: Simplify right side
    7,773.51x = 47,527,985.33
  5. Step 5: Solve for x
    x = 47,527,985.33/7,773.51
  6. Step 6: Final answer
    x = 6,114.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.